Quiz about UAS MATEKO MHU

Question 1

Fungsi utilitas suatu konsumen adalah:

$$U\ \left(x,\ y\left(x\right)\right)=4x^2+3y^2+2xy\ dengan\ y=x^2+1$$

Tentukan laju perubahan utilitas terhadap x, yaitu $$\frac{dU}{dx},$$ saat x = 1.

Accepted Answer

40

Answer

36

Answer

38

Answer

42

Answer

44

Question 2

$$Q\left(x,\ y\right)=5x^2+7y^2+4xy,\ \ \ \ \ \ \ \ \ y=x^2+2$$

Hitung laju perubahan produk terhadap x, yaitu $$\frac{dQ}{dx},$$ saat x = 1.

Accepted Answer

114

Answer

108

Answer

110

Answer

112

Answer

116

Question 3

Fungsi utilitas seorang konsumen dinyatakan sebagai:

$$U\ \left(x,\ y\right)=6x^2+2y^2+3xy,\ \ \ dengan\ y=x^2+3$$

Tentukan laju perubahan utilitas terhadap x, yaitu $$\frac{dU}{dx}$$ , saat x = 2.

Accepted Answer

181

Answer

175

Answer

178

Answer

184

Answer

187

Question 4

Diketahui biaya marjinal $$MC(x)=4x+10$$ , dan biaya tetap FC = 100. Tentukan biaya total TC (x)!

Accepted Answer

$$2x^2+10x+100$$

Answer

$$4x^2+10x+100$$

Answer

$$4x^2+10x$$

Answer

$$2x^2+10x$$

Answer

$$2x^2+5x+100$$

Question 5

Sebuah perusahaan memproduksi dua jenis produk: X dan Y.

Berapa unit produk X dan Y yang harus diproduksi agar semua sumber daya digunakan tepat?

Accepted Answer

X = 12, Y = 13

Answer

X = 10, Y = 15

Answer

X = 14, Y = 12

Answer

X = 13, Y = 12

Answer

X = 11, Y = 14

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